Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) f(x)=x99x intercepts (x, y) = (-1.316,0 (x, y) = (0,0 (x, y) = (1.316,0 ) (smallest x-value) ) (largest x-value)

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A: Topic:- differential equations

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A: Given the query is to find absolute maxima and minima.

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A: line integral

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Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

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Q: Hello

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Q: Evaluate I C: arc on y = x³/2 from (0, 0) to (4, 8) (2x −y) dx + (x + 3y) dy.

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A: Topic:- differential equations

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A: Please refer to the image below

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A: We know that integration power rule is  Integration of xn is xn+1/n+1 + C. Here C is integration

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A: Topic:- vector algebra

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A: If x is a lower bound for S in R then x must be unique.

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A: We have to solve and find the curvature  K

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Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

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A: Graph of the right open parabola is given, we have to find its equation

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-e²y)1/2 dx = dy

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A: Find the partial derivatives

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A: Topic:- application of integration

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Q: 1 For r(t) = − i − j + m(1) k - j + ln(t)k and u(t) = t²i − 2tj + k. t d Find [r(1) · u(1)] ²3 +…

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Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

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Q: product

A: Please refer to the image below